Question

A circle is shown on the coordinate plane below.

What is the equation of this circle?

Answer 1

What is the equation of this circle?

x2 + (y + 1)2 = 4

x2 + (y – 1)2 = 2

x2 + (y + 1)2 = 2

x2 + (y – 1)2 = 4

Answer 2

HELP PLLLEAAASSSE!

Answer 3

What are the center coordinates?
What is the length of the radius?
Do you know the equation of a circle?

Answer 4

Im completely lost on this entire section :/ could you help me ?

Answer 5

Can you see what the center coordinates are?

Answer 6

(0,1)

Answer 7

right?

Answer 8

That's right!

Answer 9

Now can you calculate the length of the radius by counting the number of points from (0,1) to the end point?

Answer 10

uhm.. 2?

Answer 11

Yeah! Now do you have any idea of what an equation of a circle is supposed to be?

Answer 12

no idea

Answer 13

All right. Let me help you.
What are two of the favourite letters of yours? Shouldn't include \(x\), \(y\) or \(r\) as they are taken.

Answer 14

s and k

Answer 15

All right then!

\((x - s)^2 + (y - k)^2 = r^2\)

\((s,k)\) is the center.
\(r\) is the radius.

x and y will just remain there.

Answer 16

so whats the answer ?

Answer 17

So, the center is (0,1) right?
Our equation is something like \((x - 0)^2 + (y - 1)^2 = r^2\)
Now that the radius is 2, we have something like \((x - 0)^2 + (y - 1)^2 = 2^2\)
or
\(x^2 + (y - 1)^2 = 4\)

Answer 18

Are you 100 percent sure? & thank you for taking the time to help me! :)

Answer 19

I am 105% sure!

Answer 20

IT WAS RIGHT! :) THHANK YOOOU!